%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:41:05 PM UTC 2026
% Result : Unsatisfiable 1.31s 1.29s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 26 unt; 4 def)
% Number of atoms : 84 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 29 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
p8(c13,c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_2) ).
fof(f3,negated_conjecture,
p7(c10,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
fof(f4,negated_conjecture,
p2(f6(c9,c13),c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p2(f5(c14,c10),c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
p2(f3(f4(c11),c12),c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( ~ p2(f5(X1,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,X0),X1)
| ~ p7(c10,X0)
| ~ p8(X0,c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_14) ).
tcf(c_63,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,negated_conjecture,
p8(c13,c9),
inference(cnf_transformation,[],[f2]) ).
tcf(c_65,negated_conjecture,
p7(c10,c13),
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,negated_conjecture,
p2(f6(c9,c13),c14),
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,negated_conjecture,
p2(f5(c14,c10),c15),
inference(cnf_transformation,[],[f5]) ).
tcf(c_68,negated_conjecture,
p2(f3(f4(c11),c12),c15),
inference(cnf_transformation,[],[f6]) ).
tcf(c_70,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p7(c10,X1)
| ~ p8(X1,c9)
| ~ p2(f6(c9,X1),X0)
| ~ p2(f5(X0,c10),f3(f4(c11),c12)) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_147,definition,
iPr_def_10 = f4(c11),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_148,definition,
iPr_def_11 = f3(iPr_def_10,c12),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_149,definition,
iPr_def_12 = f5(c14,c10),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_150,definition,
iPr_def_13 = f6(c9,c13),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_151,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p7(c10,X0)
| ~ p8(X0,c9)
| ~ p2(f5(X1,c10),iPr_def_11)
| ~ p2(f6(c9,X0),X1) ),
inference(demodulation,[status(thm)],[c_76,c_147,c_148]) ).
tcf(c_157,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_159,negated_conjecture,
p2(iPr_def_11,c15),
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_160,negated_conjecture,
p2(iPr_def_12,c15),
inference(demodulation,[status(thm)],[c_67,c_149]) ).
tcf(c_161,negated_conjecture,
p2(iPr_def_13,c14),
inference(demodulation,[status(thm)],[c_66,c_150]) ).
tcf(c_162,negated_conjecture,
p7(c10,c13),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_163,negated_conjecture,
p8(c13,c9),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_164,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_446,plain,
! [X0: $i] :
( p2(c15,X0)
| ~ p2(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_159,c_157]) ).
tcf(c_447,plain,
! [X0: $i] :
( p2(c15,X0)
| ~ p2(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_160,c_157]) ).
tcf(c_482,plain,
! [X0: $i] :
( ~ p7(c10,c13)
| ~ p8(c13,c9)
| ~ p2(iPr_def_13,X0)
| ~ p2(f5(X0,c10),iPr_def_11) ),
inference(superposition,[status(thm)],[c_150,c_151]) ).
tcf(c_483,plain,
! [X0: $i] :
( ~ p2(iPr_def_13,X0)
| ~ p2(f5(X0,c10),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_482,c_162,c_163]) ).
tcf(c_491,plain,
p2(c15,iPr_def_11),
inference(superposition,[status(thm)],[c_164,c_446]) ).
tcf(c_501,plain,
p2(c15,iPr_def_12),
inference(superposition,[status(thm)],[c_164,c_447]) ).
tcf(c_503,plain,
! [X0: $i] :
( p2(iPr_def_12,X0)
| ~ p2(c15,X0) ),
inference(superposition,[status(thm)],[c_501,c_157]) ).
tcf(c_782,plain,
p2(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_491,c_503]) ).
tcf(c_963,plain,
( ~ p2(iPr_def_13,c14)
| ~ p2(iPr_def_12,iPr_def_11) ),
inference(superposition,[status(thm)],[c_149,c_483]) ).
tcf(c_964,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_963,c_161,c_782]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 01:45:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.31/1.29 % SZS status Started for theBenchmark.p
% 1.31/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.31/1.29
% 1.31/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.31/1.29
% 1.31/1.29 % ------ iProver source info
% 1.31/1.29
% 1.31/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.31/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.31/1.29 % git: non_committed_changes: false
% 1.31/1.29
% 1.31/1.29 % ------ Parsing...% successful
% 1.31/1.29
% 1.31/1.29
% 1.31/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.31/1.29
% 1.31/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.31/1.29
% 1.31/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.31/1.29
% 1.31/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.31/1.29 % ------ Proving...
% 1.31/1.29 % ------ Problem Properties
% 1.31/1.29
% 1.31/1.29 %
% 1.31/1.29 % clauses 18
% 1.31/1.29 % conjectures 14
% 1.31/1.29 % EPR 9
% 1.31/1.29 % Horn 18
% 1.31/1.29 % unary 10
% 1.31/1.29 % binary 1
% 1.31/1.29 % lits 36
% 1.31/1.29 % lits eq 4
% 1.31/1.29 % fd_pure 0
% 1.31/1.29 % fd_pseudo 0
% 1.31/1.29 % fd_cond 0
% 1.31/1.29 % fd_pseudo_cond 0
% 1.31/1.29 % AC symbols 0
% 1.31/1.29
% 1.31/1.29 % ------ Schedule dynamic 5 is on
% 1.31/1.29
% 1.31/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.31/1.29
% 1.31/1.29
% 1.31/1.29 % ------
% 1.31/1.29 % Current options:
% 1.31/1.29 % ------
% 1.31/1.29
% 1.31/1.29
% 1.31/1.29 %
% 1.31/1.29
% 1.31/1.29 % ------ Proving...
% 1.31/1.29 %
% 1.31/1.29
% 1.31/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.31/1.29
% 1.31/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.31/1.30
% 1.31/1.30
%------------------------------------------------------------------------------